For how long does the principal amount of €7,537 bring the same interest as the principal amount of €12,345 invested for 8 months? Interest calculation is simple and decursive.

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Answer to a math question For how long does the principal amount of €7,537 bring the same interest as the principal amount of €12,345 invested for 8 months? Interest calculation is simple and decursive.

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Miles

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Da bismo riješili ovaj problem, trebamo upotrijebiti formulu za jednostavne kamate, koja je dana kao: I = Prt gdje je I kamata, P je glavnica, r je kamatna stopa, a t je vrijeme. S obzirom na to da glavnica od 7.537 € donosi istu kamatu kao i glavnica od 12.345 € uložena za 8 mjeseci. Pretpostavimo da je kamatna stopa ista za oba iznosa i označimo je s r. Tada možemo napisati: $7537rt = 12345r \times \frac{8}{12}$$ Pojednostavljenjem i rješavanjem za t, dobivamo: t = \frac{12345 \times 8}{7537 \times 12} t \približno 1,09 Dakle, iznos glavnice od 7.537 € donosi istu kamatu kao i iznos glavnice od 12.345 € uložen na 8 mjeseci ako se uloži na oko 1,09 godina.

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